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Finding the Fourth Proportional to 20,609.84, 30,853.25 and 20,257.19

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Solution

The fourth proportional to 20,609.84, 30,853.25 and 20,257.19 is: 30,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,609.84 : 30,853.25 = 20,257.19 : x
  2. Step 2: Convert to fraction form
    20,609.84/30,853.25 = 20,257.19/x
  3. Step 3: Cross multiply
    20,609.84x = 30,853.25 × 20,257.19
  4. Step 4: Simplify right side
    20,609.84x = 625,000,197.43
  5. Step 5: Solve for x
    x = 625,000,197.43/20,609.84
  6. Step 6: Final answer
    x = 30,325.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.